MinT - Information on Result #1823593

Information on Result #1823593

(40, 64, 514)-net in base 8, using base change based on digital (24, 48, 514)-net over F₁₆, using

trace code for nets [i] based on digital (0, 24, 257)-net over F₂₅₆, using
- net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
    - the rational function field F₂₅₆(x) [i]
  - Niederreiter sequence [i]

Mode: Constructive.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	(41, 65, 514)-net in base 8	[i]		Net Duplication
2	(42, 66, 514)-net in base 8	[i]		Net Duplication
3	(40, 63, 514)-net in base 8	[i]		m-Reduction
4	(52, 76, 523)-net in base 8	[i]		(u,Â u+v)-Construction for Nets
5	(53, 77, 528)-net in base 8	[i]
6	(63, 87, 579)-net in base 8	[i]
7	(64, 88, 644)-net in base 8	[i]
8	(66, 90, 674)-net in base 8	[i]
9	(68, 92, 772)-net in base 8	[i]
10	OOA(8⁶⁴, 514, S₈, 2, 24)	[i]		Extracting Embedded OOA
11	OOA(8⁶⁴, 514, S₈, 3, 24)	[i]		Extracting Embedded OOA